Fsc Part 1 Mathematics (Complete Solution)

Q2
Solve the Following equations

x-2 - 10 = 3x-1
Solution

x-2 - 3x-1 - 10 = 0
Putting x-1 = t in the given equation
t2 - 3t - 10 = 0
Comparing the given equation with at2 + bt + c = 0, we get
a = 1,
b = -3,
c = - 10

By Quardratic formula, we have
t =
-b ±
b2 - 4ac
2a
Putting the values of a, b, and c in the formula

t =
-(-3) ±
(-3)2 - 4(1)(-10)
2(1)
t =
3 ±
9 + 40
2
t =
3 ±
49
2
t =
3 ±
(7)2
2
t =
3 ± 7
2
Either        
t =
3 - 7
2
        OR        
t =
3 + 7
2
t =
-4
2
t =
10
2
t = -2
t = 5

As we know x-1 = t, Putting the value of t, we get
x-1 = -2
x-1 = 5
x = -
1
2
x =
1
5


Hence Solution set = { -
1
2
,
1
5
}

Other Topics

;